If the nth term of an AP is 5+3 then 4th term of an AP is
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EXPLANATION.
Nth term of an ap : 5 + 3n.
As we know that,
⇒ Tₙ = 5 + 3n.
Put the value of n = 1 in the equation, we get.
⇒ T₁ = 5 + 3(1).
⇒ T₁ = 8.
Put the value of n = 2 in the equation, we get.
⇒ T₂ = 5 + 3(2).
⇒ T₂ = 11.
Put the value of n = 3 in the equation, we get.
⇒ T₃ = 5 + 3(3).
⇒ T₃ = 14.
Put the value of n = 4 in the equation, we get.
⇒ T₄ = 5 + 3(4).
⇒ T₄ = 17.
Series : 8, 11, 14, 17, . . . . .
First term = a = 8.
Common difference = d = b - a = 11 - 8 = 3.
As we know that,
General term of an ap.
⇒ Tₙ = a + (n - 1)d.
Using this formula in this question, we get.
To find : 4th term of an ap.
⇒ T₄ = a + (4 - 1)d.
⇒ T₄ = a + 3d.
Put the values in the equation, we get.
⇒ T₄ = 8 + 3(3).
⇒ T₄ = 8 + 9.
⇒ T₄ = 17.
4th term of an ap : T₄ = 17.
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